A company has established an experiment with its production

A company has established an experiment with its production process in which three temperature settings are used and five elapsed times are used for each setting. The company then produces one product under each and measures the resulting strength of the product. The managers are mainly interested in determining whether the mean strength is the same at all temperature settings, but they know that controlling for process time is important. The following data were observed from the experiment:

Temperature 1

Termperature 2

Temperature 3

Time 1

140

150

170

Time 2

160

160

180

Time 3

150

150

160

Time 4

170

140

180

Time 5

150

150

170

Based on these data and experimental design, for a significance level of 0.05, the managers should conclude that they were justified in blocking on the basis of processing time.

True or False

Solution

Source DF SS MS F P
time 4 440 110 0.57 0.691
Error 10 1933 193
Total 14 2373

S = 13.90 R-Sq = 18.54% R-Sq(adj) = 0.00%

Individual 95% CIs For Mean Based on Pooled StDev
Level N Mean StDev +---------+---------+---------+---------
1 3 153.33 15.28 (-----------*-----------)
2 3 166.67 11.55 (-----------*-----------)
3 3 153.33 5.77 (-----------*-----------)
4 3 163.33 20.82 (-----------*-----------)
5 3 156.67 11.55 (----------*-----------)
+---------+---------+---------+---------
135 150 165 180

Pooled StDev = 13.90

as p-value is >0.01 so we accpts H0 and claim that time has no effect on observation